Leonard is going to construct a pyramid with cardboard for math class. Find how many square inches (in.2)

To find the amount of cardboard Leonard will need to construct the pyramid, we can use the formula provided:

\[ \text{Surface Area} = 4(12)bh + b^2 \]

where:

• \( b \) is the base length of the pyramid, which is 3 inches,
• \( h \) is the height of the pyramid, which is 8 inches.

Let's substitute \( b = 3 \) and \( h = 8 \) into the formula:

First, calculate \( b^2 \):

\[ b^2 = 3^2 = 9 \]

Next, calculate \( 4(12)bh \):

\[ 4(12)bh = 4(12)(3)(8) \]

Now calculating step-by-step:

1. Calculate \( 3 \times 8 = 24 \).
2. Then, calculate \( 12 \times 24 = 288 \).
3. Finally, calculate \( 4 \times 288 = 1152 \).

Now, put it all together:

\[ \text{Surface Area} = 1152 + 9 = 1161 \]

So, the total area of cardboard Leonard will need to construct the pyramid is 1161 square inches.